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Finding the Fourth Proportional to 474,491.02, 711,744.78 and 174,817.35

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Solution

The fourth proportional to 474,491.02, 711,744.78 and 174,817.35 is: 262,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,491.02 : 711,744.78 = 174,817.35 : x
  2. Step 2: Convert to fraction form
    474,491.02/711,744.78 = 174,817.35/x
  3. Step 3: Cross multiply
    474,491.02x = 711,744.78 × 174,817.35
  4. Step 4: Simplify right side
    474,491.02x = 124,425,336,315.93
  5. Step 5: Solve for x
    x = 124,425,336,315.93/474,491.02
  6. Step 6: Final answer
    x = 262,229.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.